annabinderschool
annabinderschool annabinderschool
  • 12-10-2018
  • Mathematics
contestada

Find the values of x for which f(x)=g(x) (f)x=x^2-7x+3 g(x)=-3x+8

Respuesta :

jimrgrant1 jimrgrant1
  • 13-10-2018

x = 5 or x = - 1

equate f(x) and g(x)

x² - 7x + 3 = - 3x + 8 ( subtract (- 3x + 8 ) from both sides )

x² - 4x - 5 = 0 ← in standard form

(x - 5)(x + 1) = 0

equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 1 = 0 ⇒ x = - 1


Answer Link

Otras preguntas

The moon formed after a planet-sized object collided with the sun.
How does meiosis most benefit a species?
Nafta established A community to promote _ among countries that have common economic and political interests in north America
A sign at the fish market says, "50% off, today only: half-pound packages for just $3 per package." What is the regular price for a full pound of fish, in dolla
At 1 p.m., Lin records an outside temperature of –14.8°F. At 3 p.m., she records the outside temperature and notices the temperature had increased by 22.6 degre
52.85-9.09 rounded to the nearest one
What do Boston Philadelphia and New York City have in common?
Identify the adjective phrase in this sentence. The cricket beneath my window is singing me its evening song.
29,000 with a 4% decrease
A mid-ocean ridge is formed from ____. a. abyssal plains c. lava b. the continental shelf d. a trench